Math Problem Statement

1/3 + 2/5

Solution

To solve the expression 13+25\frac{1}{3} + \frac{2}{5}:

  1. Find a common denominator. The denominators are 3 and 5. The least common denominator (LCD) is 15.

  2. Convert each fraction to have the LCD as the denominator: 13=1×53×5=515\frac{1}{3} = \frac{1 \times 5}{3 \times 5} = \frac{5}{15} 25=2×35×3=615\frac{2}{5} = \frac{2 \times 3}{5 \times 3} = \frac{6}{15}

  3. Add the fractions: 515+615=5+615=1115\frac{5}{15} + \frac{6}{15} = \frac{5 + 6}{15} = \frac{11}{15}

So, 13+25=1115\frac{1}{3} + \frac{2}{5} = \frac{11}{15}.

Would you like further details or have any questions? Here are some related questions:

  1. How do you find the least common denominator of two fractions?
  2. What is the process for subtracting fractions?
  3. How do you simplify fractions after addition?
  4. What are equivalent fractions and how are they used?
  5. How do you convert improper fractions to mixed numbers?

Tip: Always find the least common denominator when adding or subtracting fractions to simplify the process.

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Math Problem Analysis

Mathematical Concepts

Fractions
Adding Fractions
Common Denominator

Formulas

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Theorems

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Suitable Grade Level

Grades 4-6